5293898311680 has 2304 divisors, whose sum is σ = 22748778823680. Its totient is φ = 1165728153600.

The previous prime is 5293898311631. The next prime is 5293898311687. The reversal of 5293898311680 is 861138983925.

5293898311680 is a `hidden beast` number, since 5 + 293 + 89 + 83 + 116 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (5293898311687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14424790857 + ... + 14424791223.

It is an arithmetic number, because the mean of its divisors is an integer number (9873601920).

Almost surely, 2^{5293898311680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5293898311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11374389411840).

5293898311680 is an abundant number, since it is smaller than the sum of its proper divisors (17454880512000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5293898311680 is a wasteful number, since it uses less digits than its factorization.

5293898311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 5293898311680 in words is "five trillion, two hundred ninety-three billion, eight hundred ninety-eight million, three hundred eleven thousand, six hundred eighty".